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Simplifying 6(-7u + 9) + 6 = 9(-5u + 11) Reorder the terms: 6(9 + -7u) + 6 = 9(-5u + 11) (9 * 6 + -7u * 6) + 6 = 9(-5u + 11) (54 + -42u) + 6 = 9(-5u + 11) Reorder the terms: 54 + 6 + -42u = 9(-5u + 11) Combine like terms: 54 + 6 = 60 60 + -42u = 9(-5u + 11) Reorder the terms: 60 + -42u = 9(11 + -5u) 60 + -42u = (11 * 9 + -5u * 9) 60 + -42u = (99 + -45u) Solving 60 + -42u = 99 + -45u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '45u' to each side of the equation. 60 + -42u + 45u = 99 + -45u + 45u Combine like terms: -42u + 45u = 3u 60 + 3u = 99 + -45u + 45u Combine like terms: -45u + 45u = 0 60 + 3u = 99 + 0 60 + 3u = 99 Add '-60' to each side of the equation. 60 + -60 + 3u = 99 + -60 Combine like terms: 60 + -60 = 0 0 + 3u = 99 + -60 3u = 99 + -60 Combine like terms: 99 + -60 = 39 3u = 39 Divide each side by '3'. u = 13 Simplifying u = 13
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